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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E11">Def7</font></span>   defines <a href="modcat_1.html#K4" title="MODCAT_1:func.4">Morphs</a> <a onclick="hs(this)" href="javascript:()">MODCAT_1:def 7 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">V</font> being    <a href="modcat_1.html#M1" title="MODCAT_1:mode.1">LeftMod_DOMAIN</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive">b<sub>3</sub></font> being    <a href="modcat_1.html#M3" title="MODCAT_1:mode.3">LModMorphism_DOMAIN</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="modcat_1.html#K4" title="MODCAT_1:func.4">Morphs</a> <font color="Olive" title="b2">V</font> iff  for <font color="Olive" title="b4">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive">b<sub>3</sub></font> iff  ex <font color="Olive" title="b5">G</font>, <font color="Olive" title="b6">H</font> being   <a href="vectsp_1.html#V7" title="VECTSP_1:attr.7">strict</a>   <a href="modcat_1.html#M2" title="MODCAT_1:mode.2">Element</a> of <font color="Olive" title="b2">V</font> st <font color="Olive" title="b4">x</font> is   <a href="mod_2.html#V2" title="MOD_2:attr.2">strict</a>   <a href="mod_2.html#M1" title="MOD_2:mode.1">Morphism</a> of <font color="Olive" title="b5">G</font>,<font color="Olive" title="b6">H</font> ) );<br/></span></div>
